Two spring of spring constant `k_(1)` and `k_(2)` are joined in series The effective spring constant of the combination is given by

Options

A. `sqrt(k_(1)k_(2))`
B. `(k_(1)+k_(2))//2`
C. `k_(1)+k_(2)`
D. `k_(1)k_(2)//(k_(1)+k_(2))`

Answer

D

Explanation

`k_(eq)=(k_(1)k_(2))/(k_(1)+k_(2))` as `[(1)/(k_(eq))=(1)/(k_(1))+(1)/(k_2)]`.